Question

The sale price of a shirt is \(\$ 17.25\) after a \(25 \%\) discount is taken. Write and solve an equation to find the regular price of the shirt.

Short answer

The original price of the shirt was \$23.

Step-by-step solution

Understand the problem and what we need to find

We are given that a shirt is on sale for \$17.25, after a discount of 25% was applied. Our task is to determine the original price of the shirt before the discount was taken.

Establish the equation

Let's denote the original price of the shirt as X. Since the sale price is 75% (100% - 25% discount) of the original price, we can write down the equation like this: \(0.75X = \$17.25\).

Solve the equation

We just need to solve for X by dividing both sides of our equation by 0.75. Therefore, the original price X will be \(\$17.25 \div 0.75\).

Calculate the original price

Carrying out the division, we find that X = \(\$ 23\). Thus, the original price of the shirt was \$23.